The sup-norm problem for vector valued Maaß forms (Beyond the newform?)

Arithmétique

Lieu: 
Salle Kampé de Fériet
Orateur: 
Edgar Assing
Affiliation: 
Universität Bonn
Dates: 
Jeudi, 2 Décembre, 2021 - 11:00 - 12:00
Résumé: 

Bounding the sup-norm of Maaß forms is a well studied problem where much progress has been made in recent years. One of the most recent additions to the field is the study of non-spherical (i.e. vector values) Maa\ss\  forms by Blomer-Maga-Milicevic-Harcos. We will discuss p-adic analogues of their set-up and show how to obtain sub-local bounds in this new setting. Finally we discuss how our results relate to the classical problem of bounding the sup-norm of newforms in the level aspect.